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Phys. Rev. E 65, 027202 (2002) [4 pages]

Active synchronization in nonhyperbolic hyperchaotic systems

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Elbert E. N. Macau1, Celso Grebogi2, and Ying-Cheng Lai3
1Brazilian National Institute for Space Research (INPE), São José dos Campos, São Paulo, 12227-010, Brazil
2Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, São Paulo Brazil
3Departments of Mathematics, Electrical Engineering, and Physics, Systems Science and Engineering Research Center, Arizona State University, Tempe, Arizona 85287-1804

Received 17 April 2001; published 22 January 2002

We propose a methodology to address the outstanding problem of synchronization in nonhyperbolic hyperchaotic physical systems. Our approach makes use of a controlling-chaos strategy that accomplishes the task by transmitting only one scalar signal even in the presence of noise.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.65.027202
DOI:
10.1103/PhysRevE.65.027202
PACS:
05.45.Xt, 05.45.Gg, 05.45.Vx
 
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